Details

sample31.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
8.0ms	258×	body	80	nan

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	7
1	44	7
2	63	7
3	70	7
4	71	7
5	71	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.8b

localize11.0ms

Local error

Found 3 expressions with local error:

1.0b	(+ (* x y) (* x z))
2.4b	(+ (+ (* x y) (* x z)) (* y z))
21.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `fma-def` `*-un-lft-identity`
4×	`pow1` `sum-log`
3×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `sqrt-div` `distribute-lft-out`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

3 → 51

Calls

3 calls:

3.0ms	(+ (* x y) (* x z))
13.0ms	(+ (+ (* x y) (* x z)) (* y z))
15.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series183.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (* x y) (* x z))
23.0ms	(+ (+ (* x y) (* x z)) (* y z))
124.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify146.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (140.0ms)

Iter	Nodes	Cost
0	270	383
1	1009	344
2	4339	335
3	5001	334

prune198.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 22.8b

localize14.0ms

Local error

Found 4 expressions with local error:

2.4b	(+ (+ (* x y) (* x z)) (* y z))
2.4b	(+ (+ (* x y) (* x z)) (* y z))
21.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
21.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `fma-def` `*-un-lft-identity`
6×	`pow1` `sum-log` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `distribute-lft-out`

Counts

4 → 72

Calls

4 calls:

13.0ms	(+ (+ (* x y) (* x z)) (* y z))
13.0ms	(+ (+ (* x y) (* x z)) (* y z))
14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
15.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (+ (* x y) (* x z)) (* y z))
23.0ms	(+ (+ (* x y) (* x z)) (* y z))
117.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
125.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify116.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	200	618
1	734	550
2	3300	534
3	5001	532

prune344.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 22.8b

localize14.0ms

Local error

Found 4 expressions with local error:

16.1b	(cbrt (+ (* x y) (* x z)))
16.1b	(cbrt (+ (* x y) (* x z)))
16.1b	(cbrt (+ (* x y) (* x z)))
21.6b	(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z))) (* y z)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `pow1/3` `sqrt-prod` `flip-+` `distribute-lft-out`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 63

Calls

4 calls:

2.0ms	(cbrt (+ (* x y) (* x z)))
2.0ms	(cbrt (+ (* x y) (* x z)))
2.0ms	(cbrt (+ (* x y) (* x z)))
1.0ms	(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z))) (* y z)))

series784.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt (+ (* x y) (* x z)))
127.0ms	(cbrt (+ (* x y) (* x z)))
125.0ms	(cbrt (+ (* x y) (* x z)))
411.0ms	(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z))) (* y z)))

simplify140.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	361	841
1	1141	788
2	4842	741
3	5001	741

prune348.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 22.8b

localize23.0ms

Local error

Found 4 expressions with local error:

2.4b	(+ (+ (* x y) (* x z)) (* y z))
21.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
22.2b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
22.2b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-log-exp`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `cbrt-div` `fma-def` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
3×	`sum-log` `sqrt-prod`
2×	`pow1/3` `sqrt-div`
1×	`+-commutative` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `distribute-lft-out`

Counts

4 → 66

Calls

4 calls:

13.0ms	(+ (+ (* x y) (* x z)) (* y z))
14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series610.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (+ (* x y) (* x z)) (* y z))
119.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
234.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
234.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify121.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (113.0ms)

Iter	Nodes	Cost
0	274	687
1	888	627
2	3686	599
3	5001	598

prune405.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 22.8b

regimes209.0ms

Accuracy

0% (0.0b remaining)

Error of 20.8b against oracle of 20.8b and baseline of 20.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample846.0ms

Algorithm

intervals

Results

266.0ms	8000×	body	80	valid
250.0ms	7776×	body	80	nan